Fraction Definition and 653 Threads

dryness fraction - is anything missing here ?? Hi Guys, Got a couple of questions I need answers on. a)A closed vessel of 0.8 m3 capacity contains dry saturated steam at 350 kPa. The vessel is cooled until the pressure is 200 kPa. Calculate 1) mass of steam in the vessel 2) final dryness...

can anyone help me with this integration integral (dx)/(x^3+x) i tried solving it with partial integration and got stuck when i got find B and C...this was what i did = integral (dx)/[x(x^2 + 1)] = 1/[x(x^2 - 1)] = A/x + (Bx+C)/(x^2 + 1) => 1 = A(x^2 + 1) + (Bx+C)(x) => 1 =...

Two Polaroid filters are initially crossed. The analyzer is rotated through an angle of 55.0 degrees. Find the fraction of the intensity incident on the polarizer which passes the analyzer. I used I1=1/2 Io I2= I1cos I2= 1/2 Io cos^2(theta) = 1/2 Io cos227.5° = .393 Io Is...

hello everyone. I'm confused on what he wants here. here are the directions: http://img206.imageshack.us/img206/9692/lastscan2ju.jpg How do you prove such a thing? do i take the integral of the decompoisition and add them together or what? The homework and webworks never asked this...

can someone help me set up this problem. it asks for the partial fraction decomposition of: (7x^3 - 2)/[(x^2)(x+1)^3] i thought you put A/x^2 + B/(x+1)^3 and solve but it doesn't work that way.

If we're asked to expand an irrational partial fraction, we need to rationalize it first, right? I've forgotten (well not totally) how to perform polynomial division. Here are a few examples: 1. (1000x +1000000)/(.4x + 200). For this one I got 50000. 2. (500x + 60000)/(x+100)...

I've been looking all over the net since yesterday for a PROOF of a theorem called the "heaviside method" it involves partial fractions and itegration of such. If anyone could show me a proof of it or send me a link of it I would gladly appreciate it, thanks!

Can anybody help me to get packing fraction of H mass 2 equal to 2.01402u?

how do I make: 20(x + 20) / ((x+10)^2 + 400) into a fraction like (x-a)(x-b)...etc / (x-c)(x-d)...etc where a b c d are constants. The 400 is really stumping me.

Hi all! how would you do this partial fraction problem? \frac{1}{s(s+1)^3(s+2)} The answer is \frac{1}{2s}+\frac{1}{2(s+2)}-\frac{1}{s+1}-\frac{1}{(s+1)^3} I know that it can be done by letting \frac{1}{s(s+1)^3(s+2)} =...

1) Find the molar mass of an unknown substance if 227.5 mL of an aqueous solution containing 2.785 grams of the unknown generates an osmotic pressure of 588.0 mm Hg at 20.9 Celsius. Report your answer to 3 significant figures. pi = MRT pi = 588.0 mm Hg = 588 mm Hg/760 mm Hg = 0.7736842...

how to integ 2x^2 / (1-x^2) using partial fracton??

Hi,I'm reading the proof of Rodriguez recurrence formula P_l(x) = \frac{1}{2^l l!} \frac{d^l}{dx^l} (x^2-1)^l This formula itself isn't a problem. But during the proof I got (1-2xt+t^2)^{-\frac{1}{2}} = \sum_n \left( \begin{array}{c} -\frac{1}{2} \\ n \end{array} \right)...

An aqueous antifreeze solution is 37.0% ethylene glycol (C2H6O2) by mass. The density of the solution is 1.047 g/cm3. Q: Calculate the mole fraction of ethylene glycol. I tried it many time, but still got the wrong answer. that is what i did: mole fraction:(X) = nA/(nA+nB) set the...

Hi, here's the problem : A 60 gal tank contain pure Azote at 36,2 psig and 24,2 °C. We add 908,25 g of freon (CF2Cl2) that evaporate completely. If the temperature of the tank is 8,2 °C : a) What is the molar fraction of the freon. I've made some calculation, but it always result...

Hi, here's the problem : A 60 gal tank contain pure Azote at 36,2 psig and 24,2 °C. We add 908,25 g of freon (CF2Cl2) that evaporate completely. If the temperature of the tank is 8,2 °C : a) What is the molar fraction of the freon. I've made some calculation, but it always result...

How do i find the fraction closest to 0.987654321 using the geometric series? I have tried taking the geometric series and its derivatives but none seem to fit it. Can anyone help?

I`ve been asked to complete the following expresion \frac{x^5}{x^3 - x} I know i`m supossed to reduce the numerator, but i`m a little stuck getting started. The problem i have is how do you reduce x^5? is it simply x^3(x^2)? but then how do you get rid of the x^3 AAHH i`m lost. I...

I really don't know where to find the acceleration of the object in this question. When you push a 1.8 kg book resting on a tabletop, it takes 2.25 N to start the book sliding. Hwat is the coefficient of static fraction? Any help would be greatly appreciated, I have already done the force...

I have y"+y=t , y(0)=1, y'=0 After Laplace transformation a got: (S^3+1)/(S^2(S^2+1)) After I made a partial fraction expansion (S^3+1)/(S^2(S^2+1))=a1/S^2+a2/S+a3/(S^2+1) (1) It comes to a system where a2=1 a1+a3=0 (2) a2=0 a1=1 Here I am getting confused...

Hey eveyone, trying to determine the partial fraction decomposition of: (22x^2+60x+58) (s+1)(x^2+4x+5)^2 I got values for my unknowns A, B, C, D,E are: A=5 B=-1777/29 C=-6143/29 D=-570/29 E=840/29 If anyone out there can double check these for me.

what are alternative ways to do partial fraction? other than the normal method of mulplying the whole term over and comparing coefficient which is super headache method i heard of "cover-up method", gets the answer real quick anyone have details to this?

hey, I am having trouble with the following... (6x^2+5x-6)/(6x^2+13x+6) TIMES (3x^2-4x-4)/(3x^2-8x+4) i can factorise them but i don't know what to do after that... Thanks for your help

Eight lights are connected to in parallel to a 110V power source by two leads of total resistance 1.5 ohm. If 240 mA flows through each lamp, what is the fraction of the total power wasted in the leads? You got a 6 Volt battery, and have to design a voltage divider using 1 ohm resistors to...

Having trouble with one more problem: find the parial fraction decomposition for th erational expression: -8x^3-2 x^2(x-1)^3

What is 125 to the power of 2/3 I think it is 1/125 or .008 but I'm not sure

Hi every one. Just came acroos a nasty piece and was wondering if you could help me with it. I wasn't sure if it belong to math section or here but science it is for my homework I placed it here. Here is the question. Find the integral of \frac{x}{(x+1)(x-2)^2} I have gotten to some...

hello, i have the Intergal ∫(5x^2-3x+1)/((x^2+1)(x-2)) dx i do not know what to do first, i firstly tried to change to partial fraction but that didn't work to, then i tried substitution technique and again i didn't have anything to substitue that got me any further, i don't know what else to...

This is probably easy for everyone on this forum but me. Can someone please explain this to me. I need to simplify this: (sqrt(x) - 4) / (x - 16)) am I on the right track by doing it this way... (sqrt(x) - 4) / (sqrt(x) - 4) (sqrt(x) + 4) ...then cancel the (sqrt(x) - 4) in the...

Use partial fraction decompostion to find: \int_{a}^{b} \frac{2x-1}{x^2(3x+1)(x^2 + 1)} is this partial fraction set up correct? \frac{A}{3x +1} + \frac{Bx + C}{x^2 +1} + \frac{Dx + E}{x^2} = 2x - 1 If this is correct i can solve the integral.

Did I do this right? I'm relying on a formula the teacher gave us in class, without quite understanding it intuitively. So I'm just rewriting the formula to solve for my unknown and plugging in numbers. A sounding rocket launched from Earth’s surface is to achieve a final speed of 1000 m/s...

What fraction of light is reflected from the air water interface? i.e. How intense is your reflection from a lake? since the reflection coefficient is R = (\frac{n_{2} - n_{1}}{n_{1} + n_{2}})^2 n1 = 1 and n2 = 1.33 so R = 0.248. I am not sure how to interprete this? 25% of the light...

Hi, Usually for question like 1/(e^x) I can get rid of the fraction by writing it as e^-x. FOr a question like (e^x+1)/e^x how do I do this? It simplifies down to e^-x+1 but I don't get how to do it. thanks

hi everyone i have a proplem with this excercise: f(t)= (t+1)/(t^2 + 8t + 16) Here what i started: (t+1)/(t^2 + 8t + 16) = (t+1)/(t+4)^2 (t+1)/(t+4)^2 = K1/(t+4) + K2/(t+4)^2 i am stuck from here, anyone please help me, thanks first

Hey guys, I'm working on this project for my research and I am having trouble reducing a fraction. The fraction is: (bc-ab) / (a^3 - ac^2 - 2ab^2 + 2b^2c) I am almost positive that I can end up with only a (b) on top but I am not sure how. I had an idea: (b(c-a)) / (a(a^2-c^2) -...

If 30 MW of power at 45kV (rms) arrives at a town from a generator via 4-ohm transmission lines, calculate the fraction of power generated that is lost in the lines. okay I think I'm not completely understanding what I'm supposed to do in this question, or I'm missing something as from my...

does anyone know how to do this problem? The total vapor pressure above a solution of C_6H_6(l) and C_7H_8(l) is 0.485 atm. What is the mole fraction of C_6H_6(l) in the liquid solution? P^o C6H6(l) = 0.526 atm P^o C7H8(l) = 0.188 atm the answer is 0.879 but I'm not sure how to get that...

This question looks really simple, but I'm having surprising difficulty with it. A hemisperical sign 1 metre in diameter and of uniform mass density is supported by two ropes, as shown in the diagram. What fraction of the sign's weight is supported by each rope? I am having trouble...

An 8.90-cm-diameter, 310 g sphere is released from rest at the top of a 2.00-m-long, 17 degree incline. It rolls, without slipping, to the bottom. a) What is the sphere's angular velocity at the bottom of the incline? b) What fraction of its kinetic energy is rotational? If someone could...

Partial Fraction!Really Really Urgent Hey I am stuck in this question.Plese help me do this 3/(x^3 +3 ) change this into partial fraction

I need to find the partial fraction expansion of the integrand z/[(z-2i)(z+i)] Just doing 1/(z-2i) + 1/(z+i) results in (2z-i)/(z-2i)(z+i). It seems easy, but I can't figure out what to multiply by to get the correct numerator.

As part of finding the integral of z/(z^2 -1), I'm stuck on getting the partial fraction for it. 1/2 [(1/(z-1) - 1/(z+1)] gives 1/(z^2-1). What should I do to get the z in the numerator. Any hints welcome. Regards

The following problem appears in my textbook (before it discusses the quotient or product rule, so those rules cannot be used for the answer): Find the derivative of the function: \frac{x^3-3x^2+4}{x^2} I brought the denominator to the top and multiplied it out to get {x-3+4x^-2}[/ltex]...

Here is the problem: A student has two ramps both are at an angle of 30o. Ramp 1 is frictionless and ramp 2 has friction. The student also has two blocks, one for each ramp. She pushes the blocks up the ramps with the same initial velocity. The block on ramp 2 only travels a fraction f =...

\frac{1}{(c^2a_{11}a_{22}-c^2a_{12}a_{21})} = \frac{1}{A} + \frac{1}{B} anyone know how to solve for A and B?

Hello, all, I am here is to ask how can I factorise an equation with fraction indeces?? (Help~) The question I have got is x^(3/2) + a^(3/2), and the suggested method is using the factor theorem... but I just don't understand how could that works... However, I would be very grateful if...

Would someone be kind enough to show the working for expressing the following in partial fractions: \frac{x^2}{(x-1)(x+1)} I believe the answer is \frac{x^2}{(x-1)(x+1)} \equiv 1 + \frac{1}{2(x-1)} - \frac{1}{2(x+1)} Thanks in advance, Sammon Jnr

What is the best way to convert a fraction into a decimal. IE: 3/8?

Simplify (y^-3 - x^-3) / (xy^-1 + x^-1y + 1) better picture of it here http://members.rogers.com/agentj/images/math2.jpg I tried flipping the variables with negative exponents to the numerator and denominator, but then had no idea what to do next :frown:

To begin with, thank a pubil and that puzzle divided by zero. What is the dimension concept? One dimension is a close simple curve or to spred non limit far away in both directions, the universe time dimension only one side to spread straight far away. It is a semi-dimension time, and the...